Question

question 10 1 pts a rectangle that is 2 inches by 3 inches has been scaled by a factor of 7. which the new rectangle is 14 inches by 21 inches. if i then want to switch it back to the original, what should i multiply the side lengths by to make this happen?
1/7
7
3
1/3

Explanation:

Step1: Understand Scaling

Scaling a rectangle by a factor of 7 means multiplying each side length by 7. To reverse this, we need the reciprocal of 7.

Step2: Find the Reciprocal

The reciprocal of 7 is $\frac{1}{7}$, because multiplying a number by its reciprocal gives 1 (e.g., $7\times\frac{1}{7} = 1$). So to get back to the original side lengths (2 and 3) from the scaled lengths (14 and 21), we multiply by $\frac{1}{7}$. For example, $14\times\frac{1}{7}=2$ and $21\times\frac{1}{7}=3$, which are the original side lengths.

Answer:

A. 1/7